Question

according to a survey, 16.5% of men over the age of 30 in jonesville work two or more jobs. the survey had a margin of error of ±2.3%. of the estimated 30,000 men over the age of 30 in jonesville, how many would you expect to work two or more jobs?

Explanation:

Step1: Calculate the lower - bound percentage

The lower - bound percentage of men working two or more jobs is $16.5\% - 2.3\%=14.2\%$.

Step2: Calculate the lower - bound number of men

The number of men is 30000. The lower - bound number of men working two or more jobs is $30000\times0.142 = 4260$.

Step3: Calculate the upper - bound percentage

The upper - bound percentage of men working two or more jobs is $16.5\%+2.3\% = 18.8\%$.

Step4: Calculate the upper - bound number of men

The upper - bound number of men working two or more jobs is $30000\times0.188=5640$.

Answer:

Between 4260 and 5640